What are two whole numbers whose product is 1122. their difference is 1. find both numbers?

Answer 1

Let the number 'n' & 'n+1'

Hence their product is

n(n+1) = 1122

Multiply out the brackets

n^2 + n = 1122

n^2 +n -1122 = 0

It is now in Quadratic form either factor or use the Quadratic Eq'n.

n = [-1 +/- sqrt[(1)^2 - 4(1)(-1122)]} / 2(1)

n = -1 +/- sqrt[ 1 + 4488]} / 2

n = -1 +/- sqrt[4489] / 2

n = { -1 +/- 67}/ 2

n = -68/2 = -34

&

n = 66/2 = 33

Hence the two numbers are 33,34.

Answer 2

33X34=1122 34-33=1